PORS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semicircles are drawn
on PQ and QS taking as diameters as shown in figure. Find the area of the shaded region.
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Answer:
37.71 cm
Step-by-step explanation:
Given,
PS = diameter of a circle of radius 6 cm = 12 cm
PQ = QR = RS = 12/3 = 4 cm.
QS = QR + RS = (4 + 4) = 8 cm
Hence,
Required Area :
= Arc of semicircle of radius 6 cm + Arc of semicircle of radius 4 cm + Arc of semicircle of radius 4 cm
= (π * 6 + π * 4 + π * 2)
= 12π cm
= 12 * 22/7
= 264/7
= 37.7 cm
Therefore,
Area of shaded region = 37.71 cm
Hope it helps!
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